Analytical Treatment of the Oscillating Yukawa Potential

Details Analytical Treatment of the Oscillating Yukawa Potential Analytical Treatment of the Oscillating Yukawa Potential

2011-06-18

arxiv.org/abs/1106.3683v1

Physics

Condensed Matter

Other Condensed Matter

8 pages 2 tables

Scientific paper

Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of the generalized Yukawa potential with complex screening parameter. This enabled us to treat analytically both the cosine and sine-like Yukawa potentials on equal footing and compute their bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we used a carefully designed complex scaling method to evaluate the resonance energies and compared our results satisfactorily with those obtained in the literature.

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